The final log canonical model of M6
Abstract
We describe the birational model of M6 given by quadric hyperplane sections of the degree 5 del Pezzo surface. In the spirit of the genus 4 case treated by Fedorchuk, we show that it is the last non-trivial space in the log minimal model program for M6. We also obtain a new upper bound for the moving slope of the moduli space.
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